Acoustic wave properties and momentum

In summary, the conversation discusses the relationship between the wavelength of a wave produced by the linear movement of a body and its momentum, as well as other dependent variables such as fluid density and temperature. The speaker hypothesizes that a body moving at high speeds in air will create a vacuum-like bubble which will cause waves to form due to pressure differences. However, the speed of sound being fixed, there is no hope for these waves to have a distinct wavelength.
  • #1
mohamed_a
36
6
I have read about doppler effect in acoustics so i searched for the relation ship between wavelength of wave produced by linear movement of body and its momentum along with other dependent variables such as density of fluid (leaving acoustics for a second) and temperature but souldn't find a source on the internet
 
Physics news on Phys.org
  • #2
mohamed_a said:
I have read about doppler effect in acoustics so i searched for the relation ship between wavelength of wave produced by linear movement of body and its momentum along with other dependent variables such as density of fluid (leaving acoustics for a second) and temperature but souldn't find a source on the internet
Why would you expect a body moving at constant speed to generate a periodic wave form?
 
  • Like
Likes Ibix
  • #3
jbriggs444 said:
Why would you expect a body moving at constant speed to generate a periodic wave form?
at least it will form eddy currents and vortices with velocity-dependent frequency.I think that if the body moves in a linear motion it will displace a certain volume of fluid and then the surrounding medium will refill the vaccum-like space left behind .this process would form waves (since the pressure difference would produce a force -> compression -> followed by rarefaction) with properties depending on several factors such as fluid elasticity , temperature and velocity or momentum (this is my hypothesis)
 
  • #4
mohamed_a said:
at least it will form eddy currents and vortices with velocity-dependent frequency.I think that if the body moves in a linear motion it will displace a certain volume of fluid and then the surrounding medium will refill the vaccum-like space left behind .this process would form waves (since the pressure difference would produce a force -> compression -> followed by rarefaction) with properties depending on several factors such as fluid elasticity , temperature and velocity or momentum (this is my hypothesis)
But, unless these waves are periodic, they will not have a "wavelength".

Gravity waves (surface waves in deep water) such as the bow wave on a ship can have a distinct wavelength based on their speed of propagation. The speed of propagation will match the speed of the ship and, since that speed depends on wavelength, there will be a characteristic wavelength for a particular hull speed.

However, you are discussing acoustic waves. The propagation speed (the speed of sound) is fixed, independent of wavelength, so there is no hope from that angle.
 
  • #5
jbriggs444 said:
But, unless these waves are periodic, they will not have a "wavelength".

Gravity waves (surface waves in deep water) such as the bow wave on a ship can have a distinct wavelength based on their speed of propagation. The speed of propagation will match the speed of the ship and, since that speed depends on wavelength, there will be a characteristic wavelength for a particular hull speed.

However, you are discussing acoustic waves. The propagation speed (the speed of sound) is fixed, independent of wavelength, so there is no hope from that angle.
I think i didn't make my point clear. I mean the speed of the body, if a body moves in a linear motion in air supposing the speed is very high (relative to speed of sound ) near 200 m/s, the collapse of vacuum bubble will depend upon the speed of the object and properties of the medium, if the object creates vaccum-like bubble. A wave is formed by strong collapse due to pressure difference and since the fluid we are talking about is elastic it will recoil and recompress periodically in the same way a spring will produce a harmonic wave when put to similar test the frequency of this wave will be determined by how much force (due to pressure difference) acted upon the air filling the vacuum bubble sice this force causes compression if it is very strong it will compress the medium fast and due to the developing repulsion forces in the medium it will recoil fast causing a shorter wavelength of the wave.
 
Last edited:
  • #6
mohamed_a said:
I think i didn't make my point clear. I mean the speed of the body, if a body moves in a linear motion in air supposing the speed is very high (relative to speed of sound ) near 200 m/s, the collapse of vacuum bubble will depend upon the speed of the object and properties of the medium, if the object creates 40 ml/s of vaccum-like bubble and the maximum capcacity of the air withholding such a vaccum-like circumstance is 20 ml this means that 2 waves propagating at the speed of sound will be produced in 1 second . each wave is formed by strong collapse due to pressure difference and since the fluid we are talking about is elastic it will recoil and recompress periodically in the same way a spring will produce a harmonic wave when put to similar test the frequency of this wave will be determined by how much force (due to pressure difference) acted upon the air filling the vacuum bubble sice this force causes compression if it is very strong it will compress the medium fast and due to the developing repulsion forces in the medium it will recoil fast causing a shorter wavelength of the wave.
The idea of the "maximum capacity of air withholding a vacuum" sounds like word salad to me.

That the effect of a high speed object is a turbulent wake rather than laminar flow is quite plausible. But turbulence is complicated. Quite far above my level of competence, I am afraid. Probably something for a CFD approach where details matter a lot.
 
  • #7
jbriggs444 said:
The idea of the "maximum capacity of air withholding a vacuum" sounds like word salad to me.

That the effect of a high speed object is a turbulent wake rather than laminar flow is quite plausible. But turbulence is complicated. Quite far above my level of competence, I am afraid. Probably something for a CFD approach where details matter a lot.
omit the sentence it is really a just conceptual mistake

However, when i searched for turbulent wake i found what nearly matches what i mean (amazing video for example) but it just baffles me why wouldn't my scenario happen: the medium collapse behind the object (equally approching its back from both sides) forminga wave rather than one side collaping and then the other alternatively (eddy currents and turbulent wakes)?
 
  • #8
The premise is false. You will not get a vacuum (or anything near that) behind the object. You will get a flow region more or less attached to the object (a wake). You only get a distinct periodic behavior (i.e. a discrete frequency) when you get Von Karman Shedding. Otherwise it is mostly generated by turbulence and you get broadband noise (i.e. a wide spectrum). Possibly related to the turbulence spectrum (Kolmogorov or alike).

CFD and acoustics is a difficult topic by the way. You definitely cannot do standard CFD, you must resolve a large part of the turbulence, but then still, you need for the propagation something like Fowcs Williams Hawkins.
 
  • Like
Likes hutchphd
  • #9
Arjan82 said:
The premise is false. You will not get a vacuum (or anything near that) behind the object. You will get a flow region more or less attached to the object (a wake). You only get a distinct periodic behavior (i.e. a discrete frequency) when you get Von Karman Shedding. Otherwise it is mostly generated by turbulence and you get broadband noise (i.e. a wide spectrum). Possibly related to the turbulence spectrum (Kolmogorov or alike).

CFD and acoustics is a difficult topic by the way. You definitely cannot do standard CFD, you must resolve a large part of the turbulence, but then still, you need for the propagation something like Fowcs Williams Hawkins.
I need to learn much more about fluid dynamics before putting any hypotheses
 
  • Like
Likes hutchphd

1. What is the definition of acoustic wave properties?

Acoustic wave properties refer to the physical characteristics of sound waves, including frequency, wavelength, amplitude, and velocity.

2. How do acoustic waves travel through different mediums?

Acoustic waves can travel through different mediums, such as air, water, and solids, by causing particles in the medium to vibrate and transfer energy. The speed of sound in a medium depends on its density and elasticity.

3. What is the relationship between frequency and wavelength in acoustic waves?

Frequency and wavelength are inversely proportional in acoustic waves. This means that as the frequency increases, the wavelength decreases, and vice versa. This relationship is described by the equation: wavelength = speed of sound / frequency.

4. How does the amplitude of an acoustic wave affect its energy?

The amplitude of an acoustic wave is directly proportional to its energy. This means that as the amplitude increases, the energy of the wave also increases. The amplitude is the measure of the maximum displacement of particles in the medium due to the wave.

5. What is the momentum of an acoustic wave?

The momentum of an acoustic wave is the product of its velocity and mass. This means that as the velocity of the wave increases, its momentum also increases. The momentum of a sound wave can be calculated using the equation: momentum = mass x velocity.

Similar threads

Replies
31
Views
733
Replies
18
Views
1K
  • Mechanical Engineering
Replies
1
Views
1K
  • Classical Physics
2
Replies
64
Views
5K
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Mechanics
Replies
13
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
1K
Replies
86
Views
4K
  • Classical Physics
Replies
2
Views
726
Back
Top